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Journal ArticleDOI

Submatrix approach to stiffness matrix correction using modal test data

Tae W. Lim
- 01 Jun 1990 - 
- Vol. 28, Iss: 6, pp 1123-1130
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TLDR
In this article, an efficient method for stiffness matrix correction to match modal testing data is presented, where significant reduction of unknown parameters is achieved by grouping the elements of the same stiffness characteristics and representing them as a multiplication of a scaling factor and a submatrix.
Abstract
An efficient method six stiffness matrix correction to match modal testing data is presented. Significant reduction of unknown parameters is achieved by grouping the elements of the same stiffness characteristics and representing them as a multiplication of a scaling factor and a submatrix. A concise formulation to identify the scaling factors is found by utilizing a least squares solution. The formulation also incorporates a capability of reducing finite element mass and stiffness matrices to test degrees-of-freedom for a direct analysis/experiment correlation

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Citations
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A summary review of vibration-based damage identification methods

TL;DR: In this paper, the authors provide an overview of methods to detect, locate, and characterize damage in structural and mechanical systems by examining changes in measured vibration response, including frequency, mode shape, and modal damping.
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Substructural identification using neural networks

TL;DR: This study presents a method for estimating the stiffness parameters of a complex structural system by using a backpropagation neural network to overcome the issues associated with many unknown parameters in a large structural system.
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Structural Dynamic Model Updating Techniques: A State of the Art Review

TL;DR: In this article, the authors present a review of structural dynamic model updating techniques, starting with a tutorial introduction of basic concepts of model updating, the paper reviews direct and iterative techniques of update along with their applications to real life systems.

An overview of modal-based damage identification methods

TL;DR: In this article, the authors provide an overview of methods that examine changes in measured vibration response to detect, locate, and characterize damage in structural and mechanical systems, and discuss critical issues for future research in the area of modal-based damage identification.
References
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Journal ArticleDOI

Reduction of stiffness and mass matrices

TL;DR: In this article, the authors proposed a method for reducing the size of the stiffness matrix by eliminating coordinates at which no forces are applied, based on the procedure used in Ref. 1 for stiffness matrix reduction.
Book

Structural Dynamics: An Introduction to Computer Methods

TL;DR: The Science and Art of Structural Dynamics as discussed by the authors is a popular topic in the field of structural engineering, especially in the area of dynamic response of multidimensional dynamical systems.
Journal ArticleDOI

Improvement of a Large Analytical Model Using Test Data

TL;DR: In this paper, a method has been developed which uses measured normal modes and natural frequencies to improve an analytical mass and stiffness matrix model of a structure, which directly identifies, without iteration, a set of minimum changes in the analytical matrices which force the eigensolutions to agree with the test measurements.
Journal ArticleDOI

Stiffness matrix adjustment using mode data

TL;DR: In this paper, a procedure that uses structural connectivity information to optimally adjust deficient stiffness matrices is presented. But the adjustment performed are such that the percentage change to each stiffness coefficient is minimized.